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Finding the Fourth Proportional to 565,684.80, 780,644.88 and 311,052.48

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Solution

The fourth proportional to 565,684.80, 780,644.88 and 311,052.48 is: 429,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,684.80 : 780,644.88 = 311,052.48 : x
  2. Step 2: Convert to fraction form
    565,684.80/780,644.88 = 311,052.48/x
  3. Step 3: Cross multiply
    565,684.80x = 780,644.88 × 311,052.48
  4. Step 4: Simplify right side
    565,684.80x = 242,821,525,923.30
  5. Step 5: Solve for x
    x = 242,821,525,923.30/565,684.80
  6. Step 6: Final answer
    x = 429,252.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.